Spectral properties of non-homogeneous Timoshenko beam and its controllability
Controllability of slowly rotating non-homogeneous beam clamped to a disc is considered. It is assumed that at the beginning the beam remains at the position of rest and it is supposed to rotate by the given angle and achieve desired position. The rotor of propelling engine is in the middle of the d...
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| Published in: | Механика твердого тела |
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| Date: | 2007 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/27947 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Spectral properties of non-homogeneous Timoshenko beam and its controllability / G.M. Sklyar, G. Szkibiel // Механика твердого тела: Межвед. сб. науч. тр. — 2007. — Вип 37. — С. 175-183. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862720763544469504 |
|---|---|
| author | Sklyar, G.M. Szkibiel, G. |
| author_facet | Sklyar, G.M. Szkibiel, G. |
| citation_txt | Spectral properties of non-homogeneous Timoshenko beam and its controllability / G.M. Sklyar, G. Szkibiel // Механика твердого тела: Межвед. сб. науч. тр. — 2007. — Вип 37. — С. 175-183. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Механика твердого тела |
| description | Controllability of slowly rotating non-homogeneous beam clamped to a disc is considered. It is assumed that at the beginning the beam remains at the position of rest and it is supposed to rotate by the given angle and achieve desired position. The rotor of propelling engine is in the middle of the disk. The movement is governed by the system of two di erential equations with non-constant coe cients: linear mass density, exural rigidity, rotational inertia and shear sti ness. To solve the problem of controllability, the spectrum of the operator generating the dynamics of the model is studied. Then the problem of controllability is reduced to the moment problem that is, in turn, solved with the use of the asymptotics of the spectrum and Ullrich Theorem.
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| first_indexed | 2025-12-07T18:27:18Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-27947 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-1975 |
| language | English |
| last_indexed | 2025-12-07T18:27:18Z |
| publishDate | 2007 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Sklyar, G.M. Szkibiel, G. 2011-10-24T21:32:48Z 2011-10-24T21:32:48Z 2007 Spectral properties of non-homogeneous Timoshenko beam and its controllability / G.M. Sklyar, G. Szkibiel // Механика твердого тела: Межвед. сб. науч. тр. — 2007. — Вип 37. — С. 175-183. — Бібліогр.: 16 назв. — англ. 0321-1975 https://nasplib.isofts.kiev.ua/handle/123456789/27947 531.38 Controllability of slowly rotating non-homogeneous beam clamped to a disc is considered. It is assumed that at the beginning the beam remains at the position of rest and it is supposed to rotate by the given angle and achieve desired position. The rotor of propelling engine is in the middle of the disk. The movement is governed by the system of two di erential equations with non-constant coe cients: linear mass density, exural rigidity, rotational inertia and shear sti ness. To solve the problem of controllability, the spectrum of the operator generating the dynamics of the model is studied. Then the problem of controllability is reduced to the moment problem that is, in turn, solved with the use of the asymptotics of the spectrum and Ullrich Theorem. en Інститут прикладної математики і механіки НАН України Механика твердого тела Spectral properties of non-homogeneous Timoshenko beam and its controllability Article published earlier |
| spellingShingle | Spectral properties of non-homogeneous Timoshenko beam and its controllability Sklyar, G.M. Szkibiel, G. |
| title | Spectral properties of non-homogeneous Timoshenko beam and its controllability |
| title_full | Spectral properties of non-homogeneous Timoshenko beam and its controllability |
| title_fullStr | Spectral properties of non-homogeneous Timoshenko beam and its controllability |
| title_full_unstemmed | Spectral properties of non-homogeneous Timoshenko beam and its controllability |
| title_short | Spectral properties of non-homogeneous Timoshenko beam and its controllability |
| title_sort | spectral properties of non-homogeneous timoshenko beam and its controllability |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/27947 |
| work_keys_str_mv | AT sklyargm spectralpropertiesofnonhomogeneoustimoshenkobeamanditscontrollability AT szkibielg spectralpropertiesofnonhomogeneoustimoshenkobeamanditscontrollability |